Curriculum Vitae
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CURRICULUM VITAE J. VASUNDHARA DEVI Professor in Mathematics GVP – Prof. V. Lakshmikantham Institute for Advanced Studies GVP College of Engineering (Autonomous) Madhurawada, Visakhapatnam - 530 048. EDUCATION: Ph.D. in Mathematics: Guide: Professor V.Lakshmikantham Florida Institute of Technology, Melbourne, Florida, USA. Graduation: August 1992. GPA: 3.96/4.00 Thesis: Qualitative Behavior of Impulsive Differential Systems. Areas of Concentration: Impulsive Differential Equations, Stability Analysis by Lyapunov’s Second Method, Theory of Nonlinear Differential Equations, Set Differential Equations, Fractional Differential Equations. M.Phil in Mathematics: Andhra University, Visakhapatnam, AP, India. Graduation: March, 1990. Specialization: Impulsive Differential Equations. Dissertation: Impulse Systems and Models. M.Sc. in Mathematics: Andhra University, Visakhapatnam, AP, India. Graduation: November 1986. Specializations: Differential Equations, Real and Functional Analysis. B.Sc. in Mathematics: Mrs. AVN College, Andhra University, Visakhapatnam, AP, India. Graduation: April 1983. 1 EXPERIENCE: (a) TEACHING: April, 2007- Present. Professor, Dept. of Mathematics and Associate Director, GVP – Professor V. Lakshmikantham Institute for Advanced Studies GVP College of Engineering, Visakhapatnam 530 048. Aug '2003 – June 05. Visiting Associate Professor, Department of Mathematical Sciences, Florida Institute of Technology, Melbourne Florida, U.S.A. ( On leave from Gayatri Vidya Parishad College for PG Courses, Visakhapatnam. ) Sept ’96 – May, 2003. Associate Professor, Department of Mathematics, Gayatri Vidya Parishad College for PG Courses, Madhurawada, Visakhapatnam-530041, Andhra Pradesh, India. Mar ’93 – Sep ’96. Lecturer, Department of Applied Mathematics, Sri Padmavathi Mahila Visvavidyalayam, Tirupati - 517502, Andhra Pradesh, India. Sep ’89 – Sep ’92. Graduate Student Assistant, Florida Institute of Technology, Melbourne, Florida, USA, Involved in teaching various levels of Calculus and Differential Equations. July ’87 – Aug ’89. Research Scholar, Department of Mathematics, Andhra University, Visakhapatnam, AP, India. Nov ’86 – Apr ’87. Instructor in Government Junior College, Visakhapatnam, AP, India. (b) RESEARCH: Research Professor for International Federation of Nonlinear Analysts, Aug., 05 – April, 07. Post Doctoral Research Fellow, Florida Institute of Technology, Melbourne Florida, U.S.A, May 23rd – Aug 4th, 2003. Two students obtained M.Phil from Sri Padmavathi Mahila Visvavidyalayam, Tirupati. One student obtained M.Phil from Sri Venkateswara University, Tirupati, AP, India. Successfully guided 3 scholars to obtain their Ph D . One scholar Submitted her work and 3 are registered for PhD in JNTU (K), AP. 2 RESEARCH PROJECTS: 1.DST Project No. SR/S4/MS: 491/07 dated 12-01-09. Amount Sanctioned: Rs. 9,84,000/- Title: Qualitative study of set differential equations involving causal operators with memory. Sanctioned on 19-03-09 to be completed by 31st May, 2012. 2.NBHM - DAE Project 2/48(8)/2011/ - R&D II/1600 dated Feb. 8th 2012. Amount Sanctioned: Rs. 20,43,500/- Title: A Qualitative study of Graph differential equations and Matrix differential equations. Sanctioned on 8th Feb. 2012 and completed by June 2015 3.Serb-DST Project File No. EMR/2016/003572 Title: A computational study of fractional differential equations Started on Feb6th 2017. Amount Rs.1633480. RESEARCH Guidance Completed: 1.Ch.V.Sreedhar, Assistant Professor, Department of Mathematics, G.V.P College of Engineering (A), Visakhapatnam, awarded from Rayalaseema University, Kurnool. 2. S.Nagamani, Govt. Junior Lecturer in Mathematics, Elamanchili, Visakhapatnam, awarded from Rayalaseema University, Kurnool. 3. N.Giribabu, Assistant Professor, Department of Mathematics, G.V.P College of Engineering (A), awarded from JNT University, Kakinada V.Radhika, Assistant Professor, Department of Mathematics, G.V.P College for Degree and P.G Courses (A), awarded at Rayalaseema University, Kurnool. TEXT BOOK Linear Algebra to Differential Equations, with S.G. Deo and RamaKrishna Khnadeparkar, accepted and is in the process of publication by Taylor and Francis Group 3 RESEARCH PUBLICATIONS: Research Monographs: Introduction to the theory of fractional dynamic Systems with V. Lakshmikantham and S. Leela, Cambridge Scientific Publishers, 2009. Theory of Set Differential Equations in a Metric Space with V. Lakshmikantham and T. Gnana Bhaskar Cambridge Scientific Publishers, U.K., 2005. The Origin and History of Mathematics with V. Lakshmikantham and S. Leela, Cambridge Scientific Publishers, U.K., 2005. What India Should Know with V. Lakshmikantham Bharatiya Vidya Bhavan, Bombay, 2005. Ganitam Identically equal to Jeevitam, with N.Ch. Suresh and ISNRG Bharat published by Gayatri Vidya Parishad, Visakhapatnam, India. Edited volumes: Proceedings of the International Conference on Recent Advances in Mathematical Sciences and Applications-09, held at GVP-Professor V.Lakshmikantham Institute for Advanced Studies, GVP College of Engineering, Visakhapatnam. Trends in Nonlinear Analysis :In Honor of Professor V.Lakshmikantham A felicitation volume for Professor V. Lakshmikantham celebrating his 84th birthday. Special issue by Nonlinear Analysis Theory Methods and Applications, Aug 2008 (Communicating Guest Editor: J.Vasundhara Devi. Other Guest Editors: Professor Girija Jayaraman, Professor S. Leela and Professor A. Sengupta). Advances in Nonlinear Analysis Theory Methods and Applications in honor of Professor V.Lakshmikantham, Cambridge Scientific Publishers, A felicitation volume for Professor V. Lakshmikantham (Communicating Editor J. Vasundhara Devi. Other Editors Professor S. Sivasundarram, Professor Z. Drici and Professor F.A. Mc Rae.). 2009, Cambridge Scientific Publishers, U.K. Advances in dynamics and control.: Theory, methods and applications, A felicitation volume for Professor A. V.Balakrishnan, 2009, Cambridge Scientific Publishers (Communicating Editor J. Vasundhara Devi. Other Editors Professor S. Sivasundarram, Professor F. E. Udwadia and Professor Irena Lasiecka.) Editor-in-Chief Nonlinear World, a journal f interdisciplinary nature, published online by Gauyatri Vidya Parishad College of Engineering (A), Gayatri Vidya Parishad Prof.V.Lakshmikantham Institue for Advanced Studies in Association with International Federation of nonlinear Analysts. 4 Subject Area Editor: Subject editor in the area of Nonlinear Analysis for the European Journal of Pure and Applied Mathematics, Istanbul, Turkey. Member of Editorial Board: Journal of Malaya Journal of Matematik. Journal of Nonlinear Studies. Journal of International Federation of Nonlinear Analysts. Journal of Fractional Dynamic Systems. REVIEWER: Reviewer for American Mathematical Society Reviews, USA Reviewer for Zentralblatt MATH edited by the European Mathematical Society, the Heidelberg Academy of Sciences and Fachinformationszentrum Karlsruhe. Reviewer for the Journal of Australian Mathematical Society, Australia. Adjudicator of a Ph.D. thesis, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad. Reviewer for International journals published by Elsevier. Reviewer for International journals published by Springer. Reviewer for many other journals published from various countries. Reviewed a paper American Society for Mechanical Engineers, Applied Mechanics Reviews. Reviewed a book for Birkhäuser Publishers. BOOK CHAPTERS: 1. Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey, with F. A. Mc Rae and Z. Drici, in the book titled Current Trends in Fractional Calculus and Fractional Differential Equations published by Springer Nature India Private Limited (in press). 2. An Exposition on Mathematical Models involving Various Types of Differential Equations, with F. A. Mc Rae and Z. Drici, in the book titled Mathematics in Engineering Sciences: Novel Theories, Technologies, and Applications published by CRC Press (in press). 5 Refereed Publications in Journals and Proceedings: 1. Boundedness and Dichotomies for Impulsive Equations, with S.V.Krishna and K.Satyavani, JMAA, Vol.158, No.2, July, 1991, PP 352-375. 2. Dichotomies of Impulsive Differential Systems, with S.V. Krishna, and G.V. Ravindhranath Babu, JMAA, Vol.163, No.2, 1992, PP 322-344. 3. “A Variation of Lyapunov second Method to Impulsive Differential Equations”, Journal of Mathematical Analysis and Applications (JMAA), Vol. 177, No. 1, 1993, pp 190-200. 4. Strict Stability Criteria for Impulsive Differential Systems, with V.Lakhsmikantham, Journal of Nonlinear Analysis Theory, Method and Applications, vol.21, No.10, 1993, pp785-794. 5. Monotone Iterative Technique for Impulsive Differential Equations, with Variable Moments, with V. Lakshmikantham, Nicolas S. Papageorgiou, Journal of Applicable Analysis vol.51, 1993 pp 41-58. 6. Practical Stability Criteria for Impulsive Differential Systems Using a Variational Lyapunov Method, with R.Arun Kumar, Nonlinear Times and Digest, Vol.1, No.2, pp 189-196. 7. “Existence of Maximal Solutions and Comparison Theorem for Impulsive Differential Equations with Variable moments”, Nonlinear World 2 (1995) pp 419-427. 8. -Generalised Quasilinearisation for Impulsive Differential Equation with Fixed Moments of Impulse with G.N. Chandrakala and A.S. Vatsala, Dynamics of Continuous, Discrete and Impulsive Systems 1 (1995) pp 91-99. 9. Generalised Quasilinearisation of PBVP with Fixed Moments of Impulse”, with V. Sobha Rani and A. S. Vatsala, Journal of Communications